package com.leetcode.August;

import java.util.Arrays;

/**
 * @Description: 416. 分割等和子集
 * @Author: Mr.Fxy
 * @CreateTime: 2024-08-11 09:45
 */
public class LC416分割等和子集 {
    public boolean canPartition(int[] nums) {
        if(nums == null || nums.length == 0) return false;
        int n = nums.length;
        int sum = 0;
        for(int num : nums) {
            sum += num;
        }
        //总和为奇数，不能平分
        if(sum % 2 != 0) return false;
        int target = sum / 2;
        int[] dp = new int[target + 1];
        dp[0] = 0;
        for(int i = 0; i < n; i++) {
            for(int j = target; j >= nums[i]; j--) {
                dp[j] = Math.max(dp[j], dp[j - nums[i]] + nums[i]);
            }
        }
        return dp[target] == target;
    }
}
